Question

Calculate the area of the composite figure.

Answer 1

Check the picture below.

Answer 2

115.5 square inches.

Explanation:

We have been given a composite figure. We are asked to find the area of our given composite figure.

We can see that our given figure consists a rectangle and a triangle.

`\text{Area of composite figure}=\text{Area of rectangle}+\text{Area of triangle}`

`\text{Area of rectangle}=\text{Length}* \text{ width}`

`\text{Area of rectangle}=(20-7)\text{ in}* 7\text{ in}`

`\text{Area of rectangle}=13\text{ in}* 7\text{ in}`

`\text{Area of rectangle}=91\text{ in}^2`

`\text{Area of triangle}=(1)/(2)(\text{Base length}*\text{Height}`

`\text{Area of triangle}=(1)/(2)(7\text{ in}*7\text{ in}`

`\text{Area of triangle}=(1)/(2)(49\text{ in}^2)`

`\text{Area of triangle}=24.5\text{ in}^2`

`\text{Area of composite figure}=91\text{ in}^2+24.5\text{ in}^2`

`\text{Area of composite figure}=115.5\text{ in}^2`

Therefore, the area of our given composite figure is 115.5 square inches.